Answer:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And for this case we want to find this probability:

And we can find the individual probabilities using the probability mass function
And replacing we got:

Answer:
186 beats per minute
Step-by-step explanation:
The maximum heart rate (r ) in beats per minute is modeled by the equation :
r = 220 - a ...(1)
Where
a is age of the person in years
If Sanchez age is, a = 34 years
Put a = 34 in equation (1)
r = 220 - 34
= 186 beats per minute
Hence, the maximum heart rate is 186 beats per minute.
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mark me brainliest if i right ty :))
C - no 2 points can be on the same vertical line